# Stoke's Theorem related

## Main Question or Discussion Point

If S is a closed surface, then the integral over S of (curlV) dot dn must equal zero.

How could I show this is true in general?

Yikes the proof---

Can't we use a little basic topology to proove this? We discussed homotopic curves or surfaces and I believe when for a force field F. $$\del X F = 0$$ then there exists one. I might be able to look this up, in our class actually we were showed the techniques of evaluating surface integrals, but not the rigors of the proofs.

Tide
Oh right if $$\int\int\int_V div F dV = 0$$